TSTP Solution File: GEO554+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:44 EDT 2023
% Result : Theorem 29.56s 4.78s
% Output : CNFRefutation 29.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 132 ( 28 unt; 0 def)
% Number of atoms : 348 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 331 ( 115 ~; 106 |; 88 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-5 aty)
% Number of variables : 412 ( 0 sgn; 266 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X12,X26)
& circle(X0,X2,X12,X25)
& circle(X1,X2,X5,X24)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X23)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X22)
& circle(X1,X2,X20,X21)
& circle(X0,X2,X18,X19)
& perp(X2,X0,X2,X1) )
=> coll(X3,X5,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X12,X26)
& circle(X0,X2,X12,X25)
& circle(X1,X2,X5,X24)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X23)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X22)
& circle(X1,X2,X20,X21)
& circle(X0,X2,X18,X19)
& perp(X2,X0,X2,X1) )
=> coll(X3,X5,X12) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) )
=> coll(X3,X5,X6) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ coll(X3,X5,X6)
& circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ coll(X3,X5,X6)
& circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ coll(X3,X5,X6)
& circle(X1,X2,X6,X15)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X5,X13)
& coll(X1,X4,X5)
& circle(X1,X2,X4,X12)
& coll(X2,X3,X4)
& circle(X0,X2,X3,X11)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X7,X8)
& perp(X2,X0,X2,X1) )
=> ( ~ coll(sK23,sK25,sK26)
& circle(sK21,sK22,sK26,sK35)
& circle(sK20,sK22,sK26,sK34)
& circle(sK21,sK22,sK25,sK33)
& coll(sK21,sK24,sK25)
& circle(sK21,sK22,sK24,sK32)
& coll(sK22,sK23,sK24)
& circle(sK20,sK22,sK23,sK31)
& circle(sK21,sK22,sK29,sK30)
& circle(sK20,sK22,sK27,sK28)
& perp(sK22,sK20,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ coll(sK23,sK25,sK26)
& circle(sK21,sK22,sK26,sK35)
& circle(sK20,sK22,sK26,sK34)
& circle(sK21,sK22,sK25,sK33)
& coll(sK21,sK24,sK25)
& circle(sK21,sK22,sK24,sK32)
& coll(sK22,sK23,sK24)
& circle(sK20,sK22,sK23,sK31)
& circle(sK21,sK22,sK29,sK30)
& circle(sK20,sK22,sK27,sK28)
& perp(sK22,sK20,sK22,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f477,plain,
coll(sK22,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK21,sK24,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
circle(sK21,sK22,sK26,sK35),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
~ coll(sK23,sK25,sK26),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ coll(sK23,sK25,sK26),
inference(cnf_transformation,[],[f483]) ).
cnf(c_163,negated_conjecture,
circle(sK21,sK22,sK26,sK35),
inference(cnf_transformation,[],[f482]) ).
cnf(c_166,negated_conjecture,
coll(sK21,sK24,sK25),
inference(cnf_transformation,[],[f479]) ).
cnf(c_168,negated_conjecture,
coll(sK22,sK23,sK24),
inference(cnf_transformation,[],[f477]) ).
cnf(c_375,plain,
( ~ circle(sK21,sK22,sK26,sK35)
| perp(sK11(sK22,sK26,sK35,sK21),sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_440,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_166,c_49]) ).
cnf(c_454,plain,
coll(sK24,sK21,sK25),
inference(superposition,[status(thm)],[c_166,c_50]) ).
cnf(c_456,plain,
coll(sK25,sK21,sK24),
inference(superposition,[status(thm)],[c_440,c_50]) ).
cnf(c_490,plain,
( ~ perp(sK11(sK22,sK26,sK35,sK21),sK22,sK22,sK21)
| ~ coll(sK21,X0,X1)
| perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,X0,X1),sK11(sK22,sK26,sK35,sK21),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_493,plain,
( ~ perp(sK11(sK22,sK26,sK35,sK21),sK22,sK22,sK21)
| ~ coll(sK21,sK22,sK22)
| perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,sK22,sK22),sK11(sK22,sK26,sK35,sK21),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_490]) ).
cnf(c_549,plain,
( ~ coll(sK22,sK23,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
cnf(c_550,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_440,c_51]) ).
cnf(c_552,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_454,c_51]) ).
cnf(c_554,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_456,c_51]) ).
cnf(c_607,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_168,c_549]) ).
cnf(c_608,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_607,c_51]) ).
cnf(c_643,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_440,c_550]) ).
cnf(c_671,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_454,c_552]) ).
cnf(c_672,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_671,c_51]) ).
cnf(c_734,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_607,c_608]) ).
cnf(c_735,plain,
coll(sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_643,c_608]) ).
cnf(c_749,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_734,c_49]) ).
cnf(c_775,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_735,c_49]) ).
cnf(c_781,plain,
( ~ coll(X0,sK24,X1)
| ~ coll(X0,sK24,sK22)
| coll(X1,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_851,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_456,c_554]) ).
cnf(c_856,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_851,c_608]) ).
cnf(c_859,plain,
coll(sK25,sK22,sK24),
inference(superposition,[status(thm)],[c_856,c_50]) ).
cnf(c_860,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_856,c_49]) ).
cnf(c_956,plain,
coll(sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_168,c_49]) ).
cnf(c_1002,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_859,c_49]) ).
cnf(c_1072,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_956,c_51]) ).
cnf(c_1077,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_775,c_51]) ).
cnf(c_1093,plain,
( ~ coll(sK22,sK24,sK22)
| coll(sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_1077]) ).
cnf(c_1173,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_860,c_1072]) ).
cnf(c_1275,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_1173,c_50]) ).
cnf(c_2075,plain,
( ~ coll(sK23,sK26,sK25)
| coll(sK23,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2305,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_2814,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_1275,c_49]) ).
cnf(c_2820,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,X0,X1),sK11(sK22,sK26,sK35,sK21),X0,X1)
| perp(X0,X1,sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,X0,X1),sK11(sK22,sK26,sK35,sK21)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2822,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,sK22,sK22),sK11(sK22,sK26,sK35,sK21),sK22,sK22)
| perp(sK22,sK22,sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,sK22,sK22),sK11(sK22,sK26,sK35,sK21)) ),
inference(instantiation,[status(thm)],[c_2820]) ).
cnf(c_2823,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,X0,X1),sK11(sK22,sK26,sK35,sK21),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,X0,X1),sK11(sK22,sK26,sK35,sK21))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2824,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,sK22,sK22),sK11(sK22,sK26,sK35,sK21),sK22,sK22)
| ~ perp(sK22,sK22,sK16(sK11(sK22,sK26,sK35,sK21),sK21,sK22,sK22,sK22),sK11(sK22,sK26,sK35,sK21))
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_2823]) ).
cnf(c_4198,plain,
( ~ coll(sK25,X0,sK23)
| ~ coll(sK25,X0,sK26)
| coll(sK23,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4199,plain,
( ~ coll(sK25,sK22,sK23)
| ~ coll(sK25,sK22,sK26)
| coll(sK23,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_4198]) ).
cnf(c_4483,plain,
( ~ coll(sK25,sK24,sK26)
| ~ coll(sK25,sK24,sK22)
| coll(sK26,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_781]) ).
cnf(c_10903,plain,
( ~ coll(sK24,sK25,sK26)
| coll(sK25,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_11056,plain,
( ~ coll(sK25,sK26,sK25)
| coll(sK25,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11836,plain,
( ~ coll(sK25,sK26,X0)
| coll(sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11837,plain,
( ~ coll(sK25,sK26,sK22)
| coll(sK25,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_11836]) ).
cnf(c_12238,plain,
( ~ coll(sK26,X0,sK25)
| coll(sK26,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_12239,plain,
( ~ coll(sK26,sK22,sK25)
| coll(sK26,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_12238]) ).
cnf(c_23751,plain,
( ~ coll(sK24,sK26,sK25)
| coll(sK24,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_29702,plain,
( ~ coll(sK26,sK25,X0)
| coll(sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_29703,plain,
( ~ coll(sK26,sK25,sK22)
| coll(sK25,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_29702]) ).
cnf(c_55461,plain,
( ~ para(sK26,X0,sK26,sK25)
| coll(sK26,X0,sK25) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_57403,plain,
( ~ eqangle(sK26,X0,X1,X2,sK26,sK25,X1,X2)
| para(sK26,X0,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_57408,plain,
( ~ para(sK26,sK25,sK26,sK25)
| coll(sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_55461]) ).
cnf(c_57467,plain,
( ~ coll(sK26,X0,sK25)
| coll(X0,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_57495,plain,
( ~ coll(sK25,sK25,sK26)
| coll(sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_70257,plain,
( ~ eqangle(sK26,sK25,X0,X1,sK26,sK25,X0,X1)
| para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57403]) ).
cnf(c_70258,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(sK26,sK25,X0,X1,sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_2305]) ).
cnf(c_70259,plain,
( ~ eqangle(sK26,sK25,sK22,sK22,sK26,sK25,sK22,sK22)
| para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_70257]) ).
cnf(c_70260,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK26,sK25,sK22,sK22,sK26,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_70258]) ).
cnf(c_71180,plain,
( ~ coll(sK26,sK25,sK25)
| coll(sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57467]) ).
cnf(c_71184,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71180,c_70260,c_70259,c_57495,c_57408,c_29703,c_23751,c_12239,c_11837,c_11056,c_10903,c_4483,c_4199,c_2824,c_2822,c_2814,c_2075,c_1093,c_1002,c_749,c_493,c_375,c_162,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 21:04:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 29.56/4.78 % SZS status Started for theBenchmark.p
% 29.56/4.78 % SZS status Theorem for theBenchmark.p
% 29.56/4.78
% 29.56/4.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 29.56/4.78
% 29.56/4.78 ------ iProver source info
% 29.56/4.78
% 29.56/4.78 git: date: 2023-05-31 18:12:56 +0000
% 29.56/4.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 29.56/4.78 git: non_committed_changes: false
% 29.56/4.78 git: last_make_outside_of_git: false
% 29.56/4.78
% 29.56/4.78 ------ Parsing...
% 29.56/4.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 29.56/4.78
% 29.56/4.78 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 29.56/4.78
% 29.56/4.78 ------ Preprocessing...
% 29.56/4.78
% 29.56/4.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.56/4.78 ------ Proving...
% 29.56/4.78 ------ Problem Properties
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78 clauses 123
% 29.56/4.78 conjectures 11
% 29.56/4.78 EPR 86
% 29.56/4.78 Horn 113
% 29.56/4.78 unary 11
% 29.56/4.78 binary 37
% 29.56/4.78 lits 339
% 29.56/4.78 lits eq 4
% 29.56/4.78 fd_pure 0
% 29.56/4.78 fd_pseudo 0
% 29.56/4.78 fd_cond 0
% 29.56/4.78 fd_pseudo_cond 4
% 29.56/4.78 AC symbols 0
% 29.56/4.78
% 29.56/4.78 ------ Input Options Time Limit: Unbounded
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78 ------
% 29.56/4.78 Current options:
% 29.56/4.78 ------
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78 ------ Proving...
% 29.56/4.78
% 29.56/4.78
% 29.56/4.78 % SZS status Theorem for theBenchmark.p
% 29.56/4.78
% 29.56/4.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.56/4.78
% 29.56/4.78
%------------------------------------------------------------------------------